Finding the Fourth Proportional to 2,566.96, 3,853.16 and 2,085.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.96 : 3,853.16 = 2,085.82 : x
2. Step 2: Convert to fraction form
   2,566.96/3,853.16 = 2,085.82/x
3. Step 3: Cross multiply
   2,566.96x = 3,853.16 × 2,085.82
4. Step 4: Simplify right side
   2,566.96x = 8,036,998.19
5. Step 5: Solve for x
   x = 8,036,998.19/2,566.96
6. Step 6: Final answer
   x = 3,130.94